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Finding the Fourth Proportional to 6,843.14, 9,448.87 and 5,355.29

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Solution

The fourth proportional to 6,843.14, 9,448.87 and 5,355.29 is: 7,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.14 : 9,448.87 = 5,355.29 : x
  2. Step 2: Convert to fraction form
    6,843.14/9,448.87 = 5,355.29/x
  3. Step 3: Cross multiply
    6,843.14x = 9,448.87 × 5,355.29
  4. Step 4: Simplify right side
    6,843.14x = 50,601,469.34
  5. Step 5: Solve for x
    x = 50,601,469.34/6,843.14
  6. Step 6: Final answer
    x = 7,394.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.